Home
Class 12
MATHS
Evaluate the determinants (i) {:[( ...

Evaluate the determinants
`(i) {:[( 3,-1,-2),( 0,0,-1),( 3,-5,0) ]:} " " (ii) {:[( 3,-4,5),( 1,1,-2),(2,3,1) ]:}`
` (iii) {:[( 0,1,2),(-1,0,-3),(-2,3,0)]:}" "(iv) {:[(2,-1,-2),(0,2,-1),(3,-5,0)]:}`

Text Solution

Verified by Experts

The correct Answer is:
` (i) -12, (ii) 46, (iii) 0, (iv) 5`
Promotional Banner

Similar Questions

Explore conceptually related problems

Evaluate: |(3, -1, -2),(0,0,-1),(3,-5,0)|

Evaluate the determinant Delta = {:|(1,2,4),(-1,3,0),( 4,1,0)|:}

find the adjoint of the matrix {:[( 1,-1,2),( 3,0,-2),( 1,0,3) ]:}

find the cofactor of a_(23) in [(3,1,4),(0,2,-1),(1,-3,5)]

Find adjoint of each of the matrices {:[( 1,-1,2),( 2,3,5),( -2,0,1) ]:}

If [ 1 " "x " "0] {:[(1,1,1),(2,2,2),(3,3,3)]:}{:[(1),(1),(x)]:}=0 then x=

Compute the indicated products: (i) [(a,b),(-b,a)][(a,-b),(b,a)] (ii) [(1),(2),(3)][(2,3,4)] (iii) [(1,-2),(2,3)][(1,2,3),(2,3,1)] (iv) [(2,3,4),(3,4,5),(4,5,6)][(1,-3,5),(0,2,4),(3,0,5)] (v) [(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)] (vi) [(3,-1,3),(-1,0,2)][(2,-3),(1,0),(3,1)]

Find the inverse of the matrix (if it exists ) {:[( 1,2,3),( 0,2,4),( 0,0,5)]:}

Compute the inverse of the matix A = [{:(0,1,2),(1,2,3),(0,1,2):}]

Show that (i) [(5,-1),(6,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(5,-1),(6,7)] (ii) [(1,2,3),(0,1,0),(1,1,0)][(-1,1,0),(0,-1,1),(2,3,4)] ne [(-1,1,0),(0,-1,1),(2,3,4)][(1,2,3),(0,1,0),(1,1,0)]